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Finding the Fourth Proportional to 161,805.84, 222,783.90 and 137,559.09

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Solution

The fourth proportional to 161,805.84, 222,783.90 and 137,559.09 is: 189,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,805.84 : 222,783.90 = 137,559.09 : x
  2. Step 2: Convert to fraction form
    161,805.84/222,783.90 = 137,559.09/x
  3. Step 3: Cross multiply
    161,805.84x = 222,783.90 × 137,559.09
  4. Step 4: Simplify right side
    161,805.84x = 30,645,950,550.65
  5. Step 5: Solve for x
    x = 30,645,950,550.65/161,805.84
  6. Step 6: Final answer
    x = 189,399.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.